Reggie, Ryan, Sam and Henry paid a total of $126 for a present. Henry paid
25 of what the rest paid. Reggie paid 50% of what the rest paid. Ryan and Sam paid an equal amount of money. How much did Sam pay?
| Reggie |
Ryan |
Sam |
Henry |
Total |
| 5x3 |
2x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| |
1 |
1 |
|
|
| 7 u |
4 u |
4 u |
6 u |
21 u |
50%=
50100=
12 Reggie's share : Total share = 1 : 2
The total amount paid for the present is repeated. Make the total amount the same. LCM of 7 and 3 is 21.
Amount that Ryan, Sam and Henry paid = 14 u
Amount that Ryan and Sam paid
= 14 u - 6 u
= 8 u
The amount that Ryan and Sam each paid is the same.
Amount that Ryan and Sam each paid
= 8 u ÷ 2
= 4 u
Cost of the present = 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Amount that Sam paid
= 4 u
= 4 x 6
= $24
Answer(s): $24
